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Discrete transformation for matrix 3-waves problem in three dimensional space
Discrete transformation for 3- waves problem is constructed in explicit form.
Generalization of this system on the matrix case in three dimensional space
together with corresponding discrete transformation is presented also.Comment: LaTeX, 16 page
Isotropy of unitary involutions
We prove the so-called Unitary Isotropy Theorem, a result on isotropy of a
unitary involution. The analogous previously known results on isotropy of
orthogonal and symplectic involutions as well as on hyperbolicity of
orthogonal, symplectic, and unitary involutions are formal consequences of this
theorem. A component of the proof is a detailed study of the quasi-split
unitary grassmannians.Comment: final version, to appear in Acta Mat
Degenerate Neutrinos and CP Violation
We have studied mixing and masses of three left handed Majorana neutrinos in
the model, which assumes exactly degenerate neutrino masses at some "neutrino
unification" scale. Such a simple theoretical ansatz naturally leads to
quasidegenerate neutrinos. The neutrino mass splittings induced by
renormalization effects. In the model we found that the parameters of the
neutrino physics (neutrino mass spectrum, mixing angles and CP violation
phases) are strongly intercorrelated to each other. From these correlations we
got strong bounds on the parameters which could be checked in the oscillation
experiments.Comment: 5 pages, latex, presented at CAPP200
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